Shape sensing of aerospace structures by coupling of isogeometric analysis and inverse finite element method

Adnan Kefal, Erkan Oterkus

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

7 Citations (Scopus)

Abstract

This paper presents a novel isogeometric inverse Finite Element Method (iFEM) formulation, which couples the NURBS-based isogeometric analysis (IGA) together with the iFEM methodology for shape sensing of complex/curved thin shell structures. The primary goal is to be geometrically exact regardless of the discretization size and to obtain a smoother shape sensing even with less number of strain sensors. For this purpose, an isogeometric KirchhoffLove inverse-shell element (iKLS) is developed on the basis of a weighted-least-squares functional that uses membrane and bending strain measures consistent with the KirchhoffLove shell theory. The novel iKLS element employs NURBS not only as a geometry discretization technology, but also as a discretization tool for displacement domain. Therefore, this development serves the following beneficial aspects of the IGA for the shape sensing analysis based on iFEM methodology: (1) exact representation of computational geometry, (2) simplified mesh refinement, (3) smooth (high-order continuity) basis functions, and finally (4) integration of design and analysis in only one computational domain. The superior capabilities of iKLS element for shape sensing of curved shells are demonstrated by various case studies including a pinched hemisphere and a partly clamped hyperbolic paraboloid. Finally, the effect of sensor locations, number of sensors, and the discretization of the geometry on solution accuracy is examined.
LanguageEnglish
Title of host publication58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Place of PublicationReston, VA
Number of pages10
ISBN (Electronic)9781624104535
DOIs
Publication statusPublished - 9 Jan 2017
Event58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - Grapevine, United States
Duration: 9 Jan 201713 Jan 2017

Publication series

NameAIAA SciTech Forum
PublisherAmerican Institute of Aeronautics and Astronautics

Conference

Conference58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
CountryUnited States
CityGrapevine
Period9/01/1713/01/17

Fingerprint

Finite element method
Sensors
Computational geometry
Geometry
Membranes

Keywords

  • inverse finite element method
  • isogeometric analysis
  • NURBS-based
  • thin shell structures
  • isogeometric KirchhoffLove inverse-shell element

Cite this

Kefal, A., & Oterkus, E. (2017). Shape sensing of aerospace structures by coupling of isogeometric analysis and inverse finite element method. In 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference [AIAA 2017-0427] (AIAA SciTech Forum). Reston, VA. https://doi.org/10.2514/6.2017-0427
Kefal, Adnan ; Oterkus, Erkan. / Shape sensing of aerospace structures by coupling of isogeometric analysis and inverse finite element method. 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, VA, 2017. (AIAA SciTech Forum).
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title = "Shape sensing of aerospace structures by coupling of isogeometric analysis and inverse finite element method",
abstract = "This paper presents a novel isogeometric inverse Finite Element Method (iFEM) formulation, which couples the NURBS-based isogeometric analysis (IGA) together with the iFEM methodology for shape sensing of complex/curved thin shell structures. The primary goal is to be geometrically exact regardless of the discretization size and to obtain a smoother shape sensing even with less number of strain sensors. For this purpose, an isogeometric KirchhoffLove inverse-shell element (iKLS) is developed on the basis of a weighted-least-squares functional that uses membrane and bending strain measures consistent with the KirchhoffLove shell theory. The novel iKLS element employs NURBS not only as a geometry discretization technology, but also as a discretization tool for displacement domain. Therefore, this development serves the following beneficial aspects of the IGA for the shape sensing analysis based on iFEM methodology: (1) exact representation of computational geometry, (2) simplified mesh refinement, (3) smooth (high-order continuity) basis functions, and finally (4) integration of design and analysis in only one computational domain. The superior capabilities of iKLS element for shape sensing of curved shells are demonstrated by various case studies including a pinched hemisphere and a partly clamped hyperbolic paraboloid. Finally, the effect of sensor locations, number of sensors, and the discretization of the geometry on solution accuracy is examined.",
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Kefal, A & Oterkus, E 2017, Shape sensing of aerospace structures by coupling of isogeometric analysis and inverse finite element method. in 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference., AIAA 2017-0427, AIAA SciTech Forum, Reston, VA, 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Grapevine, United States, 9/01/17. https://doi.org/10.2514/6.2017-0427

Shape sensing of aerospace structures by coupling of isogeometric analysis and inverse finite element method. / Kefal, Adnan; Oterkus, Erkan.

58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, VA, 2017. AIAA 2017-0427 (AIAA SciTech Forum).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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N2 - This paper presents a novel isogeometric inverse Finite Element Method (iFEM) formulation, which couples the NURBS-based isogeometric analysis (IGA) together with the iFEM methodology for shape sensing of complex/curved thin shell structures. The primary goal is to be geometrically exact regardless of the discretization size and to obtain a smoother shape sensing even with less number of strain sensors. For this purpose, an isogeometric KirchhoffLove inverse-shell element (iKLS) is developed on the basis of a weighted-least-squares functional that uses membrane and bending strain measures consistent with the KirchhoffLove shell theory. The novel iKLS element employs NURBS not only as a geometry discretization technology, but also as a discretization tool for displacement domain. Therefore, this development serves the following beneficial aspects of the IGA for the shape sensing analysis based on iFEM methodology: (1) exact representation of computational geometry, (2) simplified mesh refinement, (3) smooth (high-order continuity) basis functions, and finally (4) integration of design and analysis in only one computational domain. The superior capabilities of iKLS element for shape sensing of curved shells are demonstrated by various case studies including a pinched hemisphere and a partly clamped hyperbolic paraboloid. Finally, the effect of sensor locations, number of sensors, and the discretization of the geometry on solution accuracy is examined.

AB - This paper presents a novel isogeometric inverse Finite Element Method (iFEM) formulation, which couples the NURBS-based isogeometric analysis (IGA) together with the iFEM methodology for shape sensing of complex/curved thin shell structures. The primary goal is to be geometrically exact regardless of the discretization size and to obtain a smoother shape sensing even with less number of strain sensors. For this purpose, an isogeometric KirchhoffLove inverse-shell element (iKLS) is developed on the basis of a weighted-least-squares functional that uses membrane and bending strain measures consistent with the KirchhoffLove shell theory. The novel iKLS element employs NURBS not only as a geometry discretization technology, but also as a discretization tool for displacement domain. Therefore, this development serves the following beneficial aspects of the IGA for the shape sensing analysis based on iFEM methodology: (1) exact representation of computational geometry, (2) simplified mesh refinement, (3) smooth (high-order continuity) basis functions, and finally (4) integration of design and analysis in only one computational domain. The superior capabilities of iKLS element for shape sensing of curved shells are demonstrated by various case studies including a pinched hemisphere and a partly clamped hyperbolic paraboloid. Finally, the effect of sensor locations, number of sensors, and the discretization of the geometry on solution accuracy is examined.

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Kefal A, Oterkus E. Shape sensing of aerospace structures by coupling of isogeometric analysis and inverse finite element method. In 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, VA. 2017. AIAA 2017-0427. (AIAA SciTech Forum). https://doi.org/10.2514/6.2017-0427